Solveeit Logo
Login

Question

Physics Question on Ray optics and optical instruments

A thin prism of angle 15∘15^{\circ} made of glass of refractive index (μ1=1.5{\mu}_1 = 1.5 is combined with another prism of glass of refractive index μ2=1.75 {\mu}_2 = 1.75. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be

A

5∘5^{\circ}

B

7∘ 7^{\circ}

C

10∘ 10^{\circ}

D

12∘ 12^{\circ}

Answer

10∘ 10^{\circ}

Explanation

Solution

For without deviation
AA′=−μ′−1μ−1\frac{ A }{ A '}=-\frac{\mu^{\prime}-1}{\mu-1}
15∘A′=−1.75−11.50−1\frac{15^{\circ}}{ A '}=-\frac{1.75-1}{1.50-1}
15∘A′=−0.750.50\frac{15^{\circ}}{ A'}=-\frac{0.75}{0.50}
A′=−10∘A '=-10^{\circ}